a faulty thermometer registers 102.5 degree at 100 degree Celsius .if the thermometer has no zero error what will it register at 500 degree Celsius.
the zero is accurate and it reads 2.5ยบ high for every hundred degrees
500 + (5 * 2.5)
To find out what the faulty thermometer will register at 500 degrees Celsius, we can use the concept of linear interpolation.
First, let's establish the relationship between the temperature in Celsius (C) and the reading on the faulty thermometer (T).
From the given information, we know that at 100 degrees Celsius, the thermometer registers 102.5 degrees (T = 102.5). Assuming there is no zero error, we can express this relationship as:
T = C + e
where e is the error introduced by the faulty thermometer.
Now, let's find the value of e. Since at 100 degrees Celsius, T = 102.5, we can substitute these values into the equation:
102.5 = 100 + e
Simplifying the equation, we find:
e = 2.5
Now that we know the error introduced by the faulty thermometer is 2.5 degrees, we can use this information to determine what the thermometer will read at 500 degrees Celsius.
T = C + e
T = 500 + 2.5
T = 502.5
Therefore, the faulty thermometer will register 502.5 degrees at 500 degrees Celsius.